Details

sample106.0ms

Algorithm: halfpoints

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	47	7
2	84	7
3	131	7
4	223	7
5	466	7
6	1123	7
7	2244	7
8	5002	7

prune11.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`associate-l`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`fma-def` `associate-r`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 54

Calls

2 calls:

5.0ms	(+ (exp x) (exp (- x)))
10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series87.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp x) (exp (- x)))
64.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify169.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	286	487
1	1053	428
2	4913	426
3	5001	426

prune140.0ms

Filtered

60 candidates to 47 candidates (78.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	4	61

Merged error: 0b

Counts

61 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cbrt (/ (+ (exp x) (exp (- x))) 2.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`swap-sqr`
19×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 176

Calls

4 calls:

6.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
6.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
6.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
24.0ms	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cbrt (/ (+ (exp x) (exp (- x))) 2.0)))

series826.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
176.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
184.0ms	(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
289.0ms	(* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cbrt (/ (+ (exp x) (exp (- x))) 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	327	2756
1	1267	2645
2	5002	2497

prune496.0ms

Filtered

188 candidates to 130 candidates (69.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	188	4	192

Merged error: 0b

Counts

192 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.4b	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
0.4b	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `associate-l`
15×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac`
9×	`pow1`
8×	`cbrt-prod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out`
3×	`pow-unpow` `fma-def` `associate-r` `associate-*l/` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `cbrt-div` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `div-inv`

Counts

4 → 101

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
2.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
10.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

series231.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (exp x) (exp (- x)))
58.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
61.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
84.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

simplify56.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	397	922
1	1744	884
2	5003	881

prune272.0ms

Filtered

113 candidates to 83 candidates (73.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.2b	(log1p (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
0.6b	(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
16×	`associate-l`
14×	`add-cube-cbrt`
13×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `distribute-lft-out`
3×	`fma-def` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `log1p-udef` `expm1-log1p` `flip3-+` `log1p-expm1` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `expm1-udef`

Counts

4 → 76

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
1.0ms	(log1p (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
1.0ms	(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
61.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
94.0ms	(log1p (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
96.0ms	(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

simplify37.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	343	754
1	1197	661
2	5001	657

prune214.0ms

Filtered

88 candidates to 67 candidates (76.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	88	4	92

Merged error: 0b

Counts

92 → 4

regimes42.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	22
1	16	22

end0.0ms

sample2.9s

Algorithm: halfpoints